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Finding the Third Proportional to 9.19 and 14.16

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Solution

The third proportional to 9.19 and 14.16 is: 21.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.19 : 14.16 = 14.16 : x
  2. Step 2: Convert to fraction form
    9.19/14.16 = 14.16/x
  3. Step 3: Cross multiply
    9.19x = 14.16 × 14.16
  4. Step 4: Simplify right side
    9.19x = 200.40
  5. Step 5: Solve for x
    x = 200.40/9.19
  6. Step 6: Final answer
    x = 21.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.